Abstract

Although the spectra of drop radii in rain showers are broad, the supernumerary bows are caused by only those drops with radii of about 0.25 mm. The angle of minimum deviation, the rainbow angle, is a function of drop size, being large for big drops, owing to drop distortion, and large for small drops, owing to interference. Between these extremes, there is a minimum rainbow angle. The drops that cause it give rise to the supernumerary bows.

© 1983 Optical Society of America

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  1. T. Young, "Experiments and calculations relative to physical optics," Philos. Trans. R. Soc. London 1–16 (1804). This is the publication of the Bakerian Lecture of 1803.
  2. G. B. Airy, "On the intensity of light in the neighbourhood of a caustic," Trans. Cambridge Philos. Soc. VI, 397–403 (1838); VIII, 595–600 (1849).
  3. H. C. van de Hulst, Light Scattering by Small Particles (Wiley, New York, 1957), p. 245.
  4. P. Lenard, "Ueber Regen," Meteorol. Zeit. 21, 248–262 (1904).
  5. J. E. McDonald. "The shape and aerodynamics of large raindrops," J. Meteorol. 11, 478–494 (1954).
  6. W. Moebius, "Zur Theorie des Regenbogens un ihrer experimentellen Prufung," Ph.D. Dissertation, Leipzig, 1907; Abh. Wiss. Kgl. Ges. Sachsen Math. Phys. Kl. (1907); also see F. E. Volz, "Some aspects of the optics of the rainbow and the physics of rain," in The Physics of Precipitation, H. Weickmann, ed., Vol. 5 of American Geophysical Union Monograph Series (American Geophysical Union, Washington, D.C., 1960), pp. 280–286.
  7. H. R. Pruppacher and J. D. Klett, Microphysics of Clouds and Precipitation (Reidel, The Netherlands, 1978), p. 315.
  8. A. W. Green, "An approximation for the shapes of large raindrops," J. Appl. Meteorol. 14, 1578–1583 (1975), Eq. (6).

1975

A. W. Green, "An approximation for the shapes of large raindrops," J. Appl. Meteorol. 14, 1578–1583 (1975), Eq. (6).

1954

J. E. McDonald. "The shape and aerodynamics of large raindrops," J. Meteorol. 11, 478–494 (1954).

1907

W. Moebius, "Zur Theorie des Regenbogens un ihrer experimentellen Prufung," Ph.D. Dissertation, Leipzig, 1907; Abh. Wiss. Kgl. Ges. Sachsen Math. Phys. Kl. (1907); also see F. E. Volz, "Some aspects of the optics of the rainbow and the physics of rain," in The Physics of Precipitation, H. Weickmann, ed., Vol. 5 of American Geophysical Union Monograph Series (American Geophysical Union, Washington, D.C., 1960), pp. 280–286.

1904

P. Lenard, "Ueber Regen," Meteorol. Zeit. 21, 248–262 (1904).

1838

G. B. Airy, "On the intensity of light in the neighbourhood of a caustic," Trans. Cambridge Philos. Soc. VI, 397–403 (1838); VIII, 595–600 (1849).

1804

T. Young, "Experiments and calculations relative to physical optics," Philos. Trans. R. Soc. London 1–16 (1804). This is the publication of the Bakerian Lecture of 1803.

Airy, G. B.

G. B. Airy, "On the intensity of light in the neighbourhood of a caustic," Trans. Cambridge Philos. Soc. VI, 397–403 (1838); VIII, 595–600 (1849).

Green, A. W.

A. W. Green, "An approximation for the shapes of large raindrops," J. Appl. Meteorol. 14, 1578–1583 (1975), Eq. (6).

Klett, J. D.

H. R. Pruppacher and J. D. Klett, Microphysics of Clouds and Precipitation (Reidel, The Netherlands, 1978), p. 315.

Lenard, P.

P. Lenard, "Ueber Regen," Meteorol. Zeit. 21, 248–262 (1904).

McDonald, J. E.

J. E. McDonald. "The shape and aerodynamics of large raindrops," J. Meteorol. 11, 478–494 (1954).

Moebius, W.

W. Moebius, "Zur Theorie des Regenbogens un ihrer experimentellen Prufung," Ph.D. Dissertation, Leipzig, 1907; Abh. Wiss. Kgl. Ges. Sachsen Math. Phys. Kl. (1907); also see F. E. Volz, "Some aspects of the optics of the rainbow and the physics of rain," in The Physics of Precipitation, H. Weickmann, ed., Vol. 5 of American Geophysical Union Monograph Series (American Geophysical Union, Washington, D.C., 1960), pp. 280–286.

Pruppacher, H. R.

H. R. Pruppacher and J. D. Klett, Microphysics of Clouds and Precipitation (Reidel, The Netherlands, 1978), p. 315.

van de Hulst, H. C.

H. C. van de Hulst, Light Scattering by Small Particles (Wiley, New York, 1957), p. 245.

Young, T.

T. Young, "Experiments and calculations relative to physical optics," Philos. Trans. R. Soc. London 1–16 (1804). This is the publication of the Bakerian Lecture of 1803.

J. Appl. Meteorol.

A. W. Green, "An approximation for the shapes of large raindrops," J. Appl. Meteorol. 14, 1578–1583 (1975), Eq. (6).

J. Meteorol.

J. E. McDonald. "The shape and aerodynamics of large raindrops," J. Meteorol. 11, 478–494 (1954).

Meteorol. Zeit.

P. Lenard, "Ueber Regen," Meteorol. Zeit. 21, 248–262 (1904).

Other

W. Moebius, "Zur Theorie des Regenbogens un ihrer experimentellen Prufung," Ph.D. Dissertation, Leipzig, 1907; Abh. Wiss. Kgl. Ges. Sachsen Math. Phys. Kl. (1907); also see F. E. Volz, "Some aspects of the optics of the rainbow and the physics of rain," in The Physics of Precipitation, H. Weickmann, ed., Vol. 5 of American Geophysical Union Monograph Series (American Geophysical Union, Washington, D.C., 1960), pp. 280–286.

H. R. Pruppacher and J. D. Klett, Microphysics of Clouds and Precipitation (Reidel, The Netherlands, 1978), p. 315.

T. Young, "Experiments and calculations relative to physical optics," Philos. Trans. R. Soc. London 1–16 (1804). This is the publication of the Bakerian Lecture of 1803.

G. B. Airy, "On the intensity of light in the neighbourhood of a caustic," Trans. Cambridge Philos. Soc. VI, 397–403 (1838); VIII, 595–600 (1849).

H. C. van de Hulst, Light Scattering by Small Particles (Wiley, New York, 1957), p. 245.

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